Question

solve the linear inequality for x. graph your answer in the number line. then write the solution in inequality notation.
-4 > -\frac{x}{5}
show your work here
hint: to add inequalities (<, >, ≤, ≥), type \less\ or \greater\

Explanation:

Step1: Multiply both sides by -5

When multiplying both sides of an inequality by a negative number, the inequality sign flips.
$$-4\times(-5)<-\frac{x}{5}\times(-5)$$

Step2: Simplify

Simplify the left - hand side and the right - hand side of the inequality.
$$20 < x$$

Answer:

The solution in inequality notation is \(x>20\). On the number line, we have an open circle at \(x = 20\) (because \(20\) is not included in the solution set) and the line extends to the right (towards larger values of \(x\)).